The Rangers on Tuesday signed head coach Alain Vigneault to an extension through the 2019-20 season that would make him the third highest-paid coach in the NHL.

A source told ESPN's Pierre LeBrun that Vigneault's new deal is worth a little more than $4 million per season, which would place him behind only Toronto's Mike Babcock and Chicago's Joel Quenneville among the highest-paid coaches.

The Islanders announced Monday that goaltender Thomas Greiss has agreed to terms on a three-year contract. The deal is worth $10 million, according to a source.

Greiss, 31, has a 14-7-3 record with a 2.25 goals-against average and a .928 save percentage this season.